| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2005 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Chain Rule |
| Type | Basic power rule differentiation |
| Difficulty | Easy -1.2 This is a straightforward application of basic differentiation rules requiring only the power rule applied to x and x^(3/2). No chain rule is actually needed despite the topic label, and it's simpler than typical C2 questions as it involves direct term-by-term differentiation with no algebraic manipulation or problem-solving. |
| Spec | 1.07i Differentiate x^n: for rational n and sums |
| Answer | Marks | Guidance |
|---|---|---|
| \(1+\frac{3}{4}x^3\) | B2 for \(kx^3\), or M1 for \(x^3\) seen before differentiation or B1 if their \(x^3\) correctly differentiated | 4 |
$1+\frac{3}{4}x^3$ | B2 for $kx^3$, or M1 for $x^3$ seen before differentiation or B1 if their $x^3$ correctly differentiated | 41 Differentiate $x + \sqrt { x ^ { 3 } }$.
\hfill \mbox{\textit{OCR MEI C2 2005 Q1 [4]}}